101314101113 has 4 divisors (see below), whose sum is σ = 104052320100. Its totient is φ = 98575882128.

The previous prime is 101314101103. The next prime is 101314101149. The reversal of 101314101113 is 311101413101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311101413101 = 57367 ⋅5423003.

It can be written as a sum of positive squares in 2 ways, for example, as 89034801769 + 12279299344 = 298387^2 + 110812^2 .

It is a cyclic number.

It is not a de Polignac number, because 101314101113 - 2¹⁰ = 101314100089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101314101091 and 101314101100.

It is not an unprimeable number, because it can be changed into a prime (101314101103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369109438 + ... + 1369109511.

It is an arithmetic number, because the mean of its divisors is an integer number (26013080025).

Almost surely, 2^101314101113 is an apocalyptic number.

It is an amenable number.

101314101113 is a deficient number, since it is larger than the sum of its proper divisors (2738218987).

101314101113 is an equidigital number, since it uses as much as digits as its factorization.

101314101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738218986.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101314101113 its reverse (311101413101), we get a palindrome (412415514214).

The spelling of 101314101113 in words is "one hundred one billion, three hundred fourteen million, one hundred one thousand, one hundred thirteen".